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HG U3D3 Conditions for Congruency Sept5

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Last updated about 1 year ago
38 Nsɛmmisa

How do we prove triangles are congruent?

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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

What is a rigid transformation?

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2.

Select all the transformations that would be considered rigid.

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3.

When completing a rigid transformation, what is the difference between the pre-image and image?

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4.

The rule to complete the translation is (x,y) => .

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5.

(There is a blank graph for you to use.)

C(-3,-4) => C'

D(-1,2) => D'

E(4,3) => E'

Click on the link:

www.geogebra.org/m/estpzh5d

Click on the link:

www.geogebra.org/m/estpzh5d

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If so, state the postulate or theorem (SSS, ASA, SAS, AAS, HL) you would use and write a triangle congruency statement.

The order of the letters matters.

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Asemmisa {{asɛmmisaAhyɛnsode}}
7.
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Asemmisa {{asɛmmisaAhyɛnsode}}
8.

Does the diagram give enough information to show that the triangles are congruent?

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Asemmisa {{asɛmmisaAhyɛnsode}}
9.

If so, state the postulate or theorem (SSS, ASA, SAS, AAS, HL) you would use and write a triangle congruency statement.

∆ABD is congruent to ∆ by (SSS, ASA, SAS, AAS, HL).

Does the diagram give enough information to show that the triangles are congruent?

If so, state the postulate or theorem (SSS, ASA, SAS, AAS, HL) you would use and write a triangle congruency statement.

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Asemmisa {{asɛmmisaAhyɛnsode}}
10.

Fill in the blanks to identify corresponding congruent parts.

a. Angle R is congruent to .

b. Segment RS is congruent to segment .

c. Angle S is congruent to .

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Asemmisa {{asɛmmisaAhyɛnsode}}
11.

State the postulate or theorem (SSS, ASA, SAS, AAS, HL) you would use and write a triangle congruency statement.

∆TRS is congruent to ∆ by .

Does the diagram give enough information to show that the triangles are congruent?

If so, state the postulate or theorem (SSS, ASA, SAS, AAS, HL) you would use and write a triangle congruency statement.

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Asemmisa {{asɛmmisaAhyɛnsode}}
12.

Fill in the blanks to identify corresponding congruent parts.

a. Angle L is congruent to .

b. Angle M is congruent to .

c. Segment MN is congruent to segment .

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Asemmisa {{asɛmmisaAhyɛnsode}}
13.

State the postulate or theorem (SSS, ASA, SAS, AAS, HL) you would use and write a triangle congruency statement.

∆NML is congruent to ∆ by .

Does the diagram give enough information to show that the triangles are congruent?

If so, state the postulate or theorem (SSS, ASA, SAS, AAS, HL) you would use and write a triangle congruency statement.

1
Asemmisa {{asɛmmisaAhyɛnsode}}
14.

Fill in the blanks to identify corresponding congruent parts.

a. Segment AB is congruent to segment .

b. Angle B is congruent to .

c. Segment BC is congruent to segment .

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Asemmisa {{asɛmmisaAhyɛnsode}}
15.

State the postulate or theorem (SSS, ASA, SAS, AAS, HL) you would use and write a triangle congruency statement.

∆ABC is congruent to ∆ by .

Triangle Congruence Theorems

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Asemmisa {{asɛmmisaAhyɛnsode}}
16.

Do you have enough information to prove congruent triangles?

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Asemmisa {{asɛmmisaAhyɛnsode}}
18.

Justify each part of the theorem.

a. Segment AB is congruent to segment .

b. Segment BC is congruent to segment .

c. Segment AC is congruent to segment .

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Asemmisa {{asɛmmisaAhyɛnsode}}
19.

Complete the triangle congruency statement for the two triangles.

∆ABC is congruent to ∆.

Triangle Congruence Theorems

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Asemmisa {{asɛmmisaAhyɛnsode}}
20.

Do you have enough information to prove congruent triangles?

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Asemmisa {{asɛmmisaAhyɛnsode}}
22.

Justify each part of the theorem.

a. Angle A is congruent to .

b. Segment AB is congruent to segment .

c. Angle ABC is congruent to .

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Asemmisa {{asɛmmisaAhyɛnsode}}
23.

Complete the triangle congruency statement for the two triangles.

∆ABC is congruent to ∆.

Triangle Congruence Theorems

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Asemmisa {{asɛmmisaAhyɛnsode}}
24.

Do you have enough information to prove congruent triangles?

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Asemmisa {{asɛmmisaAhyɛnsode}}
26.

Justify each part of the theorem.

a. Segment AB is congruent to segment .

b. Angle ABD is congruent to .

c. Segment BD is congruent to segment .

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Asemmisa {{asɛmmisaAhyɛnsode}}
27.

Complete the triangle congruency statement for the two triangles.

∆ABD is congruent to ∆.

Triangle Congruence Theorems

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Asemmisa {{asɛmmisaAhyɛnsode}}
28.

Do you have enough information to prove congruent triangles?

Triangle Congruence Theorems

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Asemmisa {{asɛmmisaAhyɛnsode}}
29.

Do you have enough information to prove congruent triangles?

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Asemmisa {{asɛmmisaAhyɛnsode}}
31.

Justify each part of the theorem.

a. Angle D is congruent to .

b. Segment DC is congruent to segment .

c. Segment AC is congruent to segment .

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Asemmisa {{asɛmmisaAhyɛnsode}}
32.

Complete the triangle congruency statement for the two triangles.

∆DCA is congruent to ∆.

Triangle Congruence Theorems

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Asemmisa {{asɛmmisaAhyɛnsode}}
33.

Do you have enough information to prove congruent triangles?

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Asemmisa {{asɛmmisaAhyɛnsode}}
35.

Justify each part of the theorem.

a. Angle D is congruent to .

b. Angle DCE is congruent to .

c. Segment CE is congruent to segment .

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Asemmisa {{asɛmmisaAhyɛnsode}}
36.

Complete the triangle congruency statement for the two triangles.

∆DCE is congruent to ∆.

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37.

Triangle Congruence Theorems

Write on the picture to show your work.

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38.

Triangle Congruence Theorems

Write on the picture to show your work.

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6.

What rules can you use to prove triangles are congruent?

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17.

What triangle congruence theorem would you use to prove congruent triangles? (SSS, SAS, ASA, AAS, HL)

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21.

What triangle congruence theorem would you use to prove congruent triangles? (SSS, SAS, ASA, AAS, HL)

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25.

What triangle congruence theorem would you use to prove congruent triangles? (SSS, SAS, ASA, AAS, HL)

Asemmisa {{asɛmmisaAhyɛnsode}}
30.

What triangle congruence theorem would you use to prove congruent triangles? (SSS, SAS, ASA, AAS, HL)

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34.

What triangle congruence theorem would you use to prove congruent triangles? (SSS, SAS, ASA, AAS, HL)